Sam has a mass of 116kg, he attempts to see how high he can jump by performing a standing high jump. At the instant of takeoff (when he is no longer in contact with the ground) his vertical velocity is 3.7m/s and his center of gravity is 1.1 m high. a) what is Sam's vertical acceleration at the instant of takeoff? b) how much time elapses after takeoff until Sam reaches his highest peak? c) what peak height does Sam center of gravity achieve?

student throws a heavy red ball horizontally from a balcony of a tall building with aninitial speed v0. At the same time, a second student throws a lighter blue ball horizontally fromthe same balcony with an initial speed v0 /2. Ignoring air resistance, which of the followingstatements must be true?a. The red ball hits the ground with the greater speed.b. Both balls hit the ground with the same vertical velocity component.c. Both balls hit the ground with the same angle of impactd. The balls reach the ground at the same instant.     More than one of the statements can be true.

A ball is suspended from a light 1.5 m string as shown. The string makes an angle of 24 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.1 m/s. a) What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)?  b)What will be the maximum angle, in degrees, the string will make with the vertical?

. A 3.0kg cannon ball is shot from a cannon at a speed of 20m/s. The cannon is oriented50 degrees above the horizontal and the cannon’s barrel is 8.0m above the ground. Youwant to position a mat that will catch the cannon ball.a. Determine how much time the cannon ball will spend in flight.b. Draw a force diagram for three points during the cannon ball’s flight (1) while itis being shot from the cannon, (2) when it is at its maximum height, and (3) whenit is half-way between the maximum height and the mat.c. Determine the horizontal distance from the end of the barrel where you shouldplace the mat so that it will catch the ball.d. How fast is the cannon ball moving just before it hits the mat?

A roof worker loses his grip on his box of tools while working on a tall house. His box slides down the roof. The roof is angled at 29 degrees with the horizontal. The roof is made of a frictionless material. The box travels 5 m down the roof and then leaves the edge of it 12 m above the ground. a). Figure out the box's velocity as it leaves the house's roof? b). How far from the base of the house does the box hit the ground? c). By how much does the box clear the yard fence which is 1.8m tall and located 6.7m away from the base of the house? I TOOLS 5m 29° 12 m 1.8m 6-7m ENGL

9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance.   a. Find the maximum height, hℎ, in meters, reached by the arrow.  b.  In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.

A ball is thrown horizontally from a cliff of height 90 meters with an initial speed of 45 m/s. A. How far from the base of the cliff will it strike the ground? B. What is its vertical component of velocity when it strikes the ground? C. What is its speed when it strikes the ground?

Q 1

The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?

Gloria kicks a soccer ball so that it has an initial velocity15.8... Gloria kicks a soccer ball so that it has an initial velocity 15.8 meters per second at an angle of 28.0 degrees above the ground. What is the vertical component of the initial velocity? Choose one answer. -7.42 m/s 7.42 m/s -14.0 m/s 14.0 m/s